im not dad, but based on my +16 years of life with my parents i suggest you to at first trust on your child, my parents are kinda overprotective, and i never went out to drink, because to be honest i think im more mature than the people with my same age, if you believe/trust on him first, he will feel more free and he will not make bad things because he knows you trust on him, thats what i think now.
In your case, you daughter is younger (congrats btw i hope she grows up happy) so you should just take care of her but not at a extreme level, let her investigate the area if you go to a park, let her touch things, feel the contact and texture...
Not too sure if this will do something to you but i was just giving you my POV because im younger, that's it.